Atkin-Lehner |
2+ 3+ 5- 17- 67- |
Signs for the Atkin-Lehner involutions |
Class |
34170c |
Isogeny class |
Conductor |
34170 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
105984 |
Modular degree for the optimal curve |
Δ |
-3950052000000 = -1 · 28 · 3 · 56 · 173 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 -5 -4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-37557,2787501] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:2059:1] [-163:2229:1] |
Generators of the group modulo torsion |
j |
-5858878105900837081/3950052000000 |
j-invariant |
L |
5.7490562196707 |
L(r)(E,1)/r! |
Ω |
0.77558490935268 |
Real period |
R |
0.20590396251423 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102510m1 |
Quadratic twists by: -3 |